38218811904 has 1200 divisors, whose sum is σ = 152223382080. Its totient is φ = 9316270080.

The previous prime is 38218811903. The next prime is 38218811909. The reversal of 38218811904 is 40911881283.

38218811904 is a `hidden beast` number, since 382 + 1 + 8 + 81 + 190 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 38218811904.

It is not an unprimeable number, because it can be changed into a prime (38218811903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 932166124 + ... + 932166164.

Almost surely, 2^38218811904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38218811904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76111691040).

38218811904 is an abundant number, since it is smaller than the sum of its proper divisors (114004570176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38218811904 is a wasteful number, since it uses less digits than its factorization.

38218811904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 38218811904 in words is "thirty-eight billion, two hundred eighteen million, eight hundred eleven thousand, nine hundred four".